Class Number | Section | Instructor | Location | Meeting Time |
17190 | 331.1 | Jinguo Lian | MWF 10:10-11:00AM | |
17191 | 331.2 | Jinguo Lian | MWF 11:15-12:05PM | |
17192 | 331.3 | Maria Nikolaou |
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TuTh 10:00-11:15AM |
17193 | 331.4 | Maria Correia | TuTh 8:30-9:45AM | |
17257 | 331.5 | Maria Nikolaou | MWF 1:00-2:15PM | |
17261 | 331.6 | TBA | MWF 1:25-2:15PM | |
17262 | 331.7 | Pat Dragon | TuTh 2:30-3:45PM | |
17268 | 331.8 | Siddhant Govardhan | MWF 9:05-9:55AM | |
Course TA's:
The course TA's will hold office hours that are open to students from all sections of math 331 each week throughout the semester. Office hours will be held in HASA 228, not in the TAs' regular office. The TA's list and office hours post here,
Monday: Xueying Yu 4-6pm, Jie Wang 5-6pm
Tuesday: Cory Ward 4-6pm, Xueying Yu 5-6pm
Wednesday: Joanthan Maack 4-6pm, Cory Ward 5-6pm
Thursday: Jie Wang 4-6pm, Joanthan Maack 5-6pm
TAs will run the office hours start from second week of the semester, Jan 29th
Syllabus: This course is an introduction to ordinary differential equations. The topics covered in this class are
First order linear and nonlinear equations: analytic methods for solving linear equations, separable equations and exact equations.
Modeling with linear first order equations: exponential growth and decay; mixing problems; interest rates; and others.
Modeling with nonlinear first order equations, geometric methods and qualitative analysis, population models, phase portrait and classification of equilibrium points.
Theory, linearity principle.
Homogenous second order linear differential equations with constant coefficients. Real, complex roots, and repeated roots.
Inhomogeneous second order linear differential equations: methods of undetermined coefficients.
Modeling with linear second order equations: Mechanical and electrical oscillations. Forcing and resonances.
Laplace transform methods.
Laplace transform for initial value problems.
Discontinuous forcing.
Impulse functions and convolutions
Systems of linear differential equations: eigenvalues and eigenvectors, phase portraits.
Review of linear algebra: matrices, eigenvalues and eigenvectors.
System of linear equations with constant coefficients: solving initial value problems with real and complex eigenvalues.
Classification of equilibrium points, sinks, sources, saddles, centers, spiral sinks and spiral sources.
Prerequisites: math 131, math 132
Text: Elementary Differential Equations, 11th Edition (2017) by William E. Boyce, Richard C. DiPrima, Douglas B. Meade
Add/Drop Procedure: If you need to add a section of math 331 that is presently closed, you should attend the first class meeting. Instructors of closed sections will circulate a list you can add your name to together with other needed information (student number, e-mail and local phone and if relevant, other math course you intend to drop if added to this section.) You should speak to the instructor after the class to discuss your situation and the likelihood that you will be admitted to the section. Starting on Friday, Jan 26, I will ask all math331 instructors whose sections are closed on Spire to send me the list of students (along with above data) that they feel they have room for in their class. I will then submit requests for Spire overrides for the students whose names are sent to me by the instructor of each closed section. Please note:
Text and online homework: We will use the textbook Elementary Differential Equations, 11th Edition (2017) by William E. Boyce, Richard C. DiPrima, Douglas B. Meade. An electronic copy of the textbook is integrated in the homework system Wiley-Plus that we will use for the class. When setting-up your account with Wiley plus there will be an option to purchase a hard copy of the book for a (small) extra-fee.
Grading and Exams There will be one midterm exam (worth 30% of your grade) common to all sections and a final exam (worth 30% of your grade) common to all sections. Online Homework (30%) are assigned weekly and done on WileyPLUS. Four sets written homework (10%) are listed.
Midterm Exam : Wednesday March 6th time: 7-9pm
Location | Sections(s) | Student number | Seats | Proctors |
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Midterm make-up Exam : Thursday March 7th time: 7-9pm, Proctor:
Final Exam:
Location | Sections(s) | Student number | Seats | Proctors |
Make-up Final Exam : time: , Proctor:
Hand written homework:
2. Step and Impulse Functions Homework
Weekly Schedule
The following is meant to give a general idea of which sections are covered in which weeks and may be adjusted as needed. All the sections will be covered.
As a general principle the material in a given week will be subject of the homework due the week after to leave you time to review the material.
Week | Lecture | Event |
1/22 | 1.1, 1.2, and 1.3 Introduction | The first class starts on Monday 1/22 |
1/29 | 2.1 Linear ODEs 2.2 Separable ODEs |
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2/5 |
2.3 Modelling with ODEs 2.5 Autonomous equations |
Monday 2/5 last day to add/drop |
2/12 | 2.4, 2.7, and 2.8 Theory and Euler methods 2.6 Exact equations |
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2/19 | 3.1 2nd order equations with constant coefficients 3.2 Theory |
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2/26 | 3.3 Complex roots 3.4 Repeated roots |
Midterm on Thursday 2/22, 7-9pm |
3/5 | 3.5 Nonhomogeneous ODEs 3.7 Mechanical and Electrical oscillations |
Wednesday 3/7 is last day drop with "W" |
3/12 |
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Spring Recess |
3/19 |
3.8 Forced oscillations |
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3/26 |
6.2 Initial value problems |
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4/2 |
6.4 Discontinuous forcing |
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4/9 |
7.1 Introduction to systems |
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4/16 |
7.2--7.3 Matrices |
Monday is Holiday; Tuesday=Monday |
4/23 |
7.5 Real eigenvalues |
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4/30 |
Review |
Tuesday 5/1 is last day of classes |
5/7 |
Final Exam |
5/4/2018, 10:30am-12:30pm |
5/14 | Grades | Final Grade is due by Tuesday 5/15 |